Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8475/79,4215/915
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8475,4215
Greatest Common Factor of Numerators i.e. GCF of 8475,4215 is 15 .
LCM of Denominators means LCM of 79,915 as per the given fractions.
LCM of 79,915 is 72285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8475,4215
3 | 8475, 4215 |
5 | 2825, 1405 |
565, 281 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 8475
List of positive integer factors of 8475 that divides 8475 without a remainder.
1,3,5,15,25,75,113,339,565,1695,2825,8475
Factors of 4215
List of positive integer factors of 4215 that divides 4215 without a remainder.
1,3,5,15,281,843,1405,4215
Greatest Common Factor
We found the factors 8475,4215 . The biggest common factor number is the GCF number.
So the greatest common factor 8475,4215 is 15.
Lets's calculate LCM of 79,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 72285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/72285
Therefore, the GCF of Fractions 8475/79,4215/915 is 15/72285
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 79,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,915) x common factors =1 x 1 = 1
LCM(79,915) = ( 79 × 915 ) / 1
LCM(79,915) = 72285 / 1
LCM(79,915) = 72285
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 8475/79, 4215/915?
Answer: GCF of Numerators as per given numbers 8475/79, 4215/915 is
GCF of Numerators i.e. for 8475,4215 is 15
LCM of denominators i.e. for 79,915 is 72285.
Thus, GCF of Fractions is 15/72285.Finally, GCF of Fractions for 8475/79, 4215/915 is 15/72285.